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Submission #501079

# Submission time Handle Problem Language Result Execution time Memory
501079 2022-01-02T10:38:39 Z arujbansal Lasers (NOI19_lasers) C++17
100 / 100
 457 ms 74840 KB 
#include <bits/stdc++.h>

using namespace std;

#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()

const int INF = 1e9 + 5;

signed main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);

	int N, R;
	cin >> N >> R;

	vector<int> walls[R];
	for (int i = 0; i < R; i++) {
		int k;
		cin >> k;

		walls[i].resize(k + 2);
		walls[i][0] = walls[i][k + 1] = 0;
		for (int j = 1; j <= k; j++)
			cin >> walls[i][j];
	}

	unordered_map<int, int> diff_mp;

	for (int i = 0; i < R; i++) {
		vector<int> pref(sz(walls[i]), 0);
		vector<pair<int, int>> ranges, merged_ranges;

		for (int j = 1; j < sz(walls[i]); j++)
			pref[j] = walls[i][j] + pref[j - 1];

		for (int j = 0; j < sz(walls[i]) - 1; j++) {
			int l = pref[j] + 1;
			int r = N - (pref.back() - pref[j]);

			if (l <= r) ranges.emplace_back(l, r);
		}

		ranges.emplace_back(INF, INF);

		int cur_l = -1, cur_r = -1;
		for (const auto &[l, r] : ranges) {
			if (l > cur_r) {
				if (cur_l > -1) merged_ranges.emplace_back(cur_l, cur_r);
				cur_l = l, cur_r = r;
			} else cur_r = max(cur_r, r);
		}

		for (const auto &[l, r] : merged_ranges) {
			// cout << l << " " << r << "\n";
			diff_mp[l]++;
			diff_mp[r + 1]--;
		}

		// cout << "\n\n";
	}

	vector<pair<int, int>> diff;
	for (const auto [k, v] : diff_mp) {
		diff.emplace_back(k, v);
		diff.emplace_back(k - 1, 0);
		diff.emplace_back(k + 1, 0);
	}

	sort(all(diff));

	int total = 0;

	for (int i = 2; i < sz(diff); i++)
		diff[i].second += diff[i - 1].second;

	for (int i = 1; i < sz(diff); i++) {
		bool move = false;

		if (diff[i].second == R) {
			int extend = diff[i].first;
			total -= extend - 1;

			while (i < sz(diff) - 1) {
				i++;
				move = true;
				if (diff[i].second != R) break;
				extend = diff[i].first;
			}

			total += extend;
		}

		
		i -= move;
	}

	cout << N - total;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 125 ms 32956 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 1 ms 448 KB Output is correct
16 Correct 1 ms 448 KB Output is correct
17 Correct 406 ms 72544 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 28404 KB Output is correct
2 Correct 21 ms 5924 KB Output is correct
3 Correct 17 ms 3936 KB Output is correct
4 Correct 194 ms 40340 KB Output is correct
5 Correct 59 ms 14172 KB Output is correct
6 Correct 63 ms 14020 KB Output is correct
7 Correct 2 ms 844 KB Output is correct
8 Correct 80 ms 16284 KB Output is correct
9 Correct 120 ms 22864 KB Output is correct
10 Correct 206 ms 42048 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 288 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #5
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 28404 KB Output is correct
2 Correct 21 ms 5924 KB Output is correct
3 Correct 17 ms 3936 KB Output is correct
4 Correct 194 ms 40340 KB Output is correct
5 Correct 59 ms 14172 KB Output is correct
6 Correct 63 ms 14020 KB Output is correct
7 Correct 2 ms 844 KB Output is correct
8 Correct 80 ms 16284 KB Output is correct
9 Correct 120 ms 22864 KB Output is correct
10 Correct 206 ms 42048 KB Output is correct
11 Correct 1 ms 288 KB Output is correct
12 Correct 0 ms 312 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 304 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 391 ms 69752 KB Output is correct
22 Correct 62 ms 11700 KB Output is correct
23 Correct 46 ms 10412 KB Output is correct
24 Correct 180 ms 26184 KB Output is correct
25 Correct 379 ms 69548 KB Output is correct
26 Correct 140 ms 22880 KB Output is correct
27 Correct 50 ms 10804 KB Output is correct
28 Correct 393 ms 69544 KB Output is correct
29 Correct 389 ms 69816 KB Output is correct
30 Correct 129 ms 22576 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 125 ms 32956 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 1 ms 448 KB Output is correct
16 Correct 1 ms 448 KB Output is correct
17 Correct 406 ms 72544 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 153 ms 28404 KB Output is correct
22 Correct 21 ms 5924 KB Output is correct
23 Correct 17 ms 3936 KB Output is correct
24 Correct 194 ms 40340 KB Output is correct
25 Correct 59 ms 14172 KB Output is correct
26 Correct 63 ms 14020 KB Output is correct
27 Correct 2 ms 844 KB Output is correct
28 Correct 80 ms 16284 KB Output is correct
29 Correct 120 ms 22864 KB Output is correct
30 Correct 206 ms 42048 KB Output is correct
31 Correct 1 ms 288 KB Output is correct
32 Correct 0 ms 312 KB Output is correct
33 Correct 0 ms 332 KB Output is correct
34 Correct 1 ms 312 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 304 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 391 ms 69752 KB Output is correct
42 Correct 62 ms 11700 KB Output is correct
43 Correct 46 ms 10412 KB Output is correct
44 Correct 180 ms 26184 KB Output is correct
45 Correct 379 ms 69548 KB Output is correct
46 Correct 140 ms 22880 KB Output is correct
47 Correct 50 ms 10804 KB Output is correct
48 Correct 393 ms 69544 KB Output is correct
49 Correct 389 ms 69816 KB Output is correct
50 Correct 129 ms 22576 KB Output is correct
51 Correct 66 ms 12140 KB Output is correct
52 Correct 426 ms 73900 KB Output is correct
53 Correct 429 ms 73784 KB Output is correct
54 Correct 84 ms 13940 KB Output is correct
55 Correct 273 ms 43700 KB Output is correct
56 Correct 196 ms 26256 KB Output is correct
57 Correct 167 ms 25600 KB Output is correct
58 Correct 457 ms 74840 KB Output is correct
59 Correct 126 ms 22420 KB Output is correct
60 Correct 177 ms 25064 KB Output is correct